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(5) Let R be a ring with 1 and M a left R-module. If N is a submodule of M, the annihilator of N in R is defined to be:
{r in R/rn=0 for all n in N}
Prove that the annihilator of N in R is a two-sided ideal of R.

This problems is from complex variable class. Please specify the terms that you use if necessary and clearly explain each step of your solution.
Problem:
Obtain the Taylor series ... (see attachment) for the function ... (see attachment)

Question:
Sales are estimated to be 4,500 units annually at $3,000 each.
The cost of each unit for Taylor Incorporated is $1,200.
Inventory carrying cost is 5% of the cost value of the device.
Order placement cost is $60.
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1. Identify the number of units to purchase.
2

Use Taylor polynomials about 0 to evaluate sin(0.3) to 4dp,showing all workings.
1)F(x)=square root 4+x and G(x)=square root 1+x
by writing square root of 4+x=2 square root 1+1/4x
and using substitution in one of the standard Taylor series, find the Taylor series about 0 for f.Given explicitly all terms up to term in x raise

Ann leases an office in Ted's building for a one-year term. At the end of the period specified in the lease, the lease ends without notice, and possession of the office returns to Ted.
If Ann dies during the period of the lease, what happens to the leased property?

Consider the following statement for the role that ethics plays in both normative and positive economics. "Ethics is the study of morals standards and how it affects conduct and I believe it is more present in normative economics than in positive economics. There are no value judgments in positive economics, though the latter

Hello,
I am in a fast-paced Calculus course where I must learn new concepts each week; I find it challenging to grasp the concepts while remaining on-pace and I am experiencing great difficulty. I have a few weeks before my semester is over, and thankfully, I have a passing grade.
I am really finding it difficult to grasp